411 ? Of The Day 2

If the number of official jerseys sold are to be taken as an indication of popular appeal, Lakers’ basketball player Kobe Bryant is no longer as popular as he used to be.

If the number of official jerseys sold are to be taken as an indication If the number of official jerseys that are sold are to be taken as an indication If the number of official jerseys sold is to be taken as an indication If the number of official jerseys sold are an indication If the number of officially licensed jerseys sold are to be taken as an indication

The verb “are” in the original version of this sentence is conjugated to agree with a plural subject. Because the plural noun “jerseys” closely precedes the verb, it is easy to read the sentence without noticing an error, but it is important to remain aware of your subjects and verbs even when they are separated by phrases, or even entire clauses. The plural noun “jerseys” is not the subject of the verb, but is rather the object of the preposition “of.” The prepositional phrase that “of” introduces modifies the subject, the singular noun “number.” Because “number” is singular, the verb must be conjugated to agree with a singular subject.

If n and m are non-zero, positive integers, which of the following must also be an integer?

I n^2-1/n+1 II m/n+1 III (m)(n)

a) I only

b) II only

c) III only

d) I and III only

e) I, II and III

answer is D

If n and m are integers, then obviously (n)(m) is an integer. And n2 -1 factors into (n + 1)(n - 1), so number I just is n - 1, which is obviously an integer. But there is no reason to expect m/(n + 1) to be an integer. Just try n = 3, m = 1 as a counter-example.

The young reporter took the ---- assignment, thinking of it as a way station until something better came along.

career interim notorious prestigious sinister

Yes, an interim assignment is one that is only temporary. Knowing your vocabulary is crucial for these single-blank questions.

If 3v + 2(1 - v) = 7, what is v?

17/5345

Simplifying the left hand side of the equation we get:3v + 2 - 2v = v + 2 = 7. And so v = 5.

A music store sells 125 different CDs. 64% of the CDs are on sale at a discounted price, and the rest are selling at full price. How many full-price CDs are there?

32 36 45 65 80

64% of 125 is 80 - so that is how many CDs are on sale. It follows that 45 CDs are selling at full-price.

Efforts to enforce global environmental regulations have been ---- by the fact that many countries have their own agendas and have ---- conceptions of how the regulations are best applied.

Perfect. This answer is preferable to answer a because "hindered" (meaning frustrated or stalled) is a better way to express the slow pace of enforcement than "attenuated" is), though both are pretty good. If you got this on the first try you will do well on this section.

The distance between the points (x, 2) and (1, 2) is the same as the distance between the points (1, 2) and (5, 5). What is one possible value of x?

(A) -4

(B) -3

(C) 0

(D) 4

(E) 5

The square of the straight line distance between (1, 2) and (5, 5) is:(5 - 1)2 + (5 - 2)2 = 16 + 9 = 25 So the distance is 5, and x must be either -4 or 6.

(Kudos if you noticed right away that the line from (1, 2) to (5, 5) is the hypotenuse of a 3-4-5 right-angle triangle).

To test his theory that prehistoric men used frozen lakes as refrigerators for their mammoth meat, the ---- ate horse meat he had left in a local pond for several months.

immunologist abolitionist paleontologist archivist chemist

Right you are. This is the best choice because a paleontologist is someone who specializes in the study of ancient life forms. Sometimes there's no substitute for a good vocabulary.

According to a recent poll, Detroit is no longer the chubbiest city in America, that distinction now belongs to the city of Houston, Texas.

(A) the chubbiest city in America, that distinction now belongs to the city of

(B) the chubbiest of American cities, that distinction now belongs to the city of

(C) the chubbier city in America, that distinction now belongs to the city of

(D) the chubbiest city in America; that distinction now belongs to the city of

(E) the chubbiest city in America, that distinction now belongs to

Answer is (D).

This sentence is comprised of two independent clauses. That means that it is made up of two clauses which do not depend upon anything else for their meaning, two clauses which are capable of standing on their own. Two independent clauses cannot be connected with only a comma, and, when they are, the error is referred to as a “comma splice.” This sentence, in its original version, is a comma splice. The comma splice is one of the most common errors in student prose, and is worth keeping an eye out for, in the test situation as well as in your own writing. There are three ways to quickly fix a comma splice. The first is the way used here: replace the comma with a semicolon. You can also replace the comma with a period and make the second clause into its own sentence. In the third option, the comma remains, and a coordinating conjunction is added before the comma.

Point P is the center of the larger circle. The two circles are tangent at point Q. If the radius of the larger circle is 4, what is the area of the smaller circle?

2 4 8 12 16

The little circle exactly fits between the center and edge of the big circle, so its radius is half the radius of the big circle. The radius of the little one is 2, and the area is 4.

The weary traveller found the ---- of the supposedly xenophobic community to be ----.

Well done!Xenophobic means fearful of strangers. Since the community was supposed to be fearful of strangers, the tired, weary traveller did not expect an enthusiatic welcome. All the parts of this sentence hang together:

* A weary traveller finds an enthusiastic welcome a pleasure. * The welcome is unexpected because the community was supposed to be fearful of strangers.

If -2 < y2 + ny + 1 < 0 is satisfied by y = -2, then what is one possible value of n?

-4-3013

A tough question. The first step is to plug in -2 for y. We then have: -2 < (-2)2 - 2n + 1 < 0 which implies that -2 < 5 - 2n < 0 Of the given values, only n = 3 works.

The surface areas of the bases of two cylinders are 2A and A respectively. What is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder.

1:41:21.4:12:14:1

Right you are! The volume of a cylinder is the surface area of the base times the height. In this case the larger cylinder has double the height and double the surface area. So the volume is 4 times bigger, and the ratio is 4:1.

A small green light is attached to a bicycle wheel. If the light travels a full rotation in half a second, the human eye will experience the illusion of a continuous circle of green light. What is the maximum number of minutes it can take the wheel to make 240 rotations if a person is to see the illusion of the green circle?

1/2 minute 1 minute 1.2 minutes 1.5 minutes 2 minutes

Well done. This was made to look more difficult than it actually is. The wheel has to make at least one rotation every half second. Therefore if it makes 2 rotations per second, or 120 rotations per minute (60 seconds), it will still give the illusion. So the longest it could take the wheel to do 240 rotations is two minutes. If it took longer than that, then the wheel would not be maintaining the minimum frequency of half a second per rotation.

Jane and Mary sell cars. Jane sold cars to 60% of the customers she saw in June, and 30% of the customers she saw in July. Mary sold cars to 50% of the customers she saw in June, and 25% of the people she saw in July. Over the two months, Jane and Mary sold the same total number of cars. If they each saw 100 customers total, and if Jane saw 50 customers each month, how many customers did Mary see in June?

80 70 60 50 40

The equation that describes the situation is the following. Let X be the number of customers Jane saw in June, and Y be the number Mary saw in June: 0.6*X + 0.3*(100-X) = 0.5*Y + 0.25*(100-Y) Now, the left had side is all known. We are told that X = 50, so Jane sells 0.6*50 + 0.3*50 = 45 cars. So we now have that 45 = 0.5*Y + 25 - 0.25*Y which implies that 0.25Y = 20. Thus, Y = 80.

The ---- between Gilbert and Sullivan resulted in splendid musical theatre that neither could have produced alone.

hostility collusion collaboration distinction formality

You're right! Gilbert and Sullivan produced splendid musical theatre that neither could have produced alone, meaning that they must have collaborated. Well done!

The sum of three consecutive integers is four times the first integer. What is the last of the three integers?

5 4 3 2 1

The most direct way to solve this is to write out a mathematical expression that represents the statement. Let n be the first integer. Then n + (n + 1) + (n + 2) = 4n. Solving for n we get 3n + 3 = 4n, or equivalently, n = 3 .So the sequence is 3, 4, 5 , and 5 is the correct answer